Formula
Kilohertz = Revolutions per minute × 0.0000166666666666667Direct answer
Multiply the entered revolutions per minute value by 0.0000166666666666667 to express it in kilohertz (kHz). This converts revolution per minute (rpm) to kilohertz (kHz) within the documented frequency family.
Variables and formula
- Revolutions per minute (rpm): the source value measured in revolution per minute.
- Kilohertz (kHz): the same quantity expressed in kilohertz.
- Conversion factor: 0.0000166666666666667 kilohertz per revolution per minute.
Kilohertz = Revolutions per minute × 0.0000166666666666667
The generator emits numeric factors with at most 15 significant digits. Calculator results keep up to 10 significant digits for display; this formatting does not increase the precision of the measurement.
Unit definitions and named variants
Source unit: revolution per minute (rpm). One revolution per minute is one rotational cycle in 60 seconds, so 1 rpm = 1/60 Hz when used as rotational frequency. Named variant used: Rotational frequency only; not radians per second. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01; National Institute of Standards and Technology: NIST Guide to the SI, Chapter 8: Comments on Some Quantities and Their Units.
Target unit: kilohertz (kHz). A kilohertz is the SI decimal multiple formed by applying kilo (10^3) to hertz: 1 kHz = 1000 Hz. The canonical kilohertz definition is used; no alternate named variant is implied. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01.
The rpm-to-kHz direction remains inside the frequency quantity; it changes the unit label and numerical scale, not the kind of quantity being measured.
Relationship and precision
This route is exact once the documented unit convention is selected; the convention itself must match the source measurement.
- rpm relationship: The raw evaluated base factor preserves JavaScript’s 1 / 60 result. The relationship is exactly 1/60 Hz; the TypeScript generator later emits 15 significant digits, producing 0.0166666666666667.
- kHz relationship: The decimal-prefix relationship is exact.
To audit the factor through the family base unit, divide the raw dataset factors 0.016666666666666666 by 1000. The generator emits that quotient once at 15 significant digits as the canonical direct factor 0.0000166666666666667; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 revolutions per minute, 10 × 0.0000166666666666667 = 0.000166666666666667 kilohertz. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one revolution per minute contains 0.0000166666666666667 kilohertz, the target number is smaller than the source number for every positive input. Zero maps to zero, while negative inputs are rejected because this family models non-negative magnitudes.
| Source amount | Calculation | Target amount |
|---|---|---|
| 1 rpm | 1 × 0.0000166666666666667 |
0.0000166666666666667 kHz |
| 10 rpm | 10 × 0.0000166666666666667 |
0.000166666666666667 kHz |
| 100 rpm | 100 × 0.0000166666666666667 |
0.00166666666666667 kHz |
| 1000 rpm | 1000 × 0.0000166666666666667 |
0.0166666666666667 kHz |
Interpretation
Read the result as kilohertz, not revolutions per minute. A value entered as rpm leaves the calculator labelled kHz; this directional distinction matters even when the two units describe the same frequency quantity.
Assumptions and limitations
- Only non-negative rotational-frequency magnitudes are accepted; rotational direction is outside this family.
- A conversion does not add significant figures to the source measurement.
- This family converts non-negative cyclic or rotational frequency magnitudes; it does not infer phase, wavelength, or measurement uncertainty.
Common mistakes
- NIST uses r/min as the unit designation; rpm and rev/min are retained as common aliases.
- The symbol is kHz with a lowercase k and uppercase H.
Continue within the Frequency family
See the Frequency conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Kilohertz to Revolutions per minute
- Compare another frequency route: Revolutions per minute to Hertz
- Compare another frequency route: Revolutions per minute to Megahertz
- Compare another frequency route: Revolutions per minute to Gigahertz
- Compare another frequency route: Kilohertz to Hertz
Assumptions
- The entered value uses revolutions per minute exactly as labelled.
- Only non-negative rotational-frequency magnitudes are accepted; rotational direction is outside this family.
- Rounding and measurement uncertainty remain the user's responsibility.
Sources and methodology
CalcMotive publishes the formula and assumptions so you can decide whether the estimate fits your use case. See our methodology standards.
- The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; accessed Aug 7, 2026
- NIST Guide to the SI, Chapter 8: Comments on Some Quantities and Their Units; National Institute of Standards and Technology; accessed Aug 7, 2026